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Finding the Fourth Proportional to 20,976, 31,607.42 and 17,358

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Solution

The fourth proportional to 20,976, 31,607.42 and 17,358 is: 26,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,976 : 31,607.42 = 17,358 : x
  2. Step 2: Convert to fraction form
    20,976/31,607.42 = 17,358/x
  3. Step 3: Cross multiply
    20,976x = 31,607.42 × 17,358
  4. Step 4: Simplify right side
    20,976x = 548,641,596.36
  5. Step 5: Solve for x
    x = 548,641,596.36/20,976
  6. Step 6: Final answer
    x = 26,155.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.